Transferring mirrored UV map
Ok I figured it out. I will leave the answer here if anyone else has the same problem in the future. 

1.Select the model you want the UVs copied to, then the model you will copy them from.

2.Press Control+Shift+T to transfer mesh data.

3.Select Vertex Group and click the Auto transform checkbox.

4.Press Control+Shift+T and choose UVs